Nuclear clock based on the Th V ion
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908476273328128 |
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| author | Dzuba, V. A. Flambaum, V. V. Peik, E. |
| author_facet | Dzuba, V. A. Flambaum, V. V. Peik, E. |
| contents | We propose that a nuclear clock based on the Th V ion can surpass the accuracy of clocks built with other thorium ions. The Th$^{4+}$ ion has a rigid closed-shell core with zero total electron angular momentum, suppressing frequency shifts from black-body radiation and stray external fields that act mainly on electrons. We calculate the energy shift of the nuclear clock transition frequency in $^{229}$Th due to the Coulomb field of atomic electrons and find a relative frequency difference of $2.8 \times 10^{-7}$ between Th IV and Th V - twelve orders of magnitude larger than the projected $10^{-19}$ fractional uncertainty of a nuclear clock. We also perform calculations for Th V energy levels, ionization potential, static polarizability, and the black-body radiation shift of the nuclear line. Additionally, we determine the nuclear transition frequencies in two thorium ions and neutral atom:
$ω_N=2,020,406.964(70)$ GHz in Th III, $ω_N=2,020,408.264(100)$ GHz in Th II, and
$ω_N=2,020,408.364(100)$ GHz in Th I. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04081 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nuclear clock based on the Th V ion Dzuba, V. A. Flambaum, V. V. Peik, E. Atomic Physics We propose that a nuclear clock based on the Th V ion can surpass the accuracy of clocks built with other thorium ions. The Th$^{4+}$ ion has a rigid closed-shell core with zero total electron angular momentum, suppressing frequency shifts from black-body radiation and stray external fields that act mainly on electrons. We calculate the energy shift of the nuclear clock transition frequency in $^{229}$Th due to the Coulomb field of atomic electrons and find a relative frequency difference of $2.8 \times 10^{-7}$ between Th IV and Th V - twelve orders of magnitude larger than the projected $10^{-19}$ fractional uncertainty of a nuclear clock. We also perform calculations for Th V energy levels, ionization potential, static polarizability, and the black-body radiation shift of the nuclear line. Additionally, we determine the nuclear transition frequencies in two thorium ions and neutral atom: $ω_N=2,020,406.964(70)$ GHz in Th III, $ω_N=2,020,408.264(100)$ GHz in Th II, and $ω_N=2,020,408.364(100)$ GHz in Th I. |
| title | Nuclear clock based on the Th V ion |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2503.04081 |